{"id":"https://openalex.org/W2088372744","doi":"https://doi.org/10.1137/080733036","title":"Application of Standard and Refined Heat Balance Integral Methods to One-Dimensional Stefan Problems","display_name":"Application of Standard and Refined Heat Balance Integral Methods to One-Dimensional Stefan Problems","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2088372744","doi":"https://doi.org/10.1137/080733036","mag":"2088372744"},"language":"en","primary_location":{"id":"doi:10.1137/080733036","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080733036","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://ddd.uab.cat/record/60929","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059969690","display_name":"Sarah Mitchell","orcid":"https://orcid.org/0000-0003-3603-2883"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. L. Mitchell","raw_affiliation_strings":["sarah.mitchell@ul.ie#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"sarah.mitchell@ul.ie#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002406539","display_name":"T.G. Myers","orcid":"https://orcid.org/0000-0001-7573-8059"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"T. G. Myers","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":199.5921,"has_fulltext":false,"cited_by_count":117,"citation_normalized_percentile":{"value":0.99941501,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"52","issue":"1","first_page":"57","last_page":"86"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12696","display_name":"Icing and De-icing Technologies","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12696","display_name":"Icing and De-icing Technologies","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12804","display_name":"Thermal Analysis in Power Transmission","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6338016986846924},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5517810583114624},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.5337772369384766},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5116181969642639},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49103856086730957},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.44787389039993286},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.4279901087284088},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.380778968334198},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10751843452453613},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09488889575004578},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.09139195084571838}],"concepts":[{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6338016986846924},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5517810583114624},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5337772369384766},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5116181969642639},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49103856086730957},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.44787389039993286},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4279901087284088},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.380778968334198},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10751843452453613},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09488889575004578},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.09139195084571838},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/080733036","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080733036","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"},{"id":"pmh:oai:ddd.uab.cat:60929","is_oa":true,"landing_page_url":"https://ddd.uab.cat/record/60929","pdf_url":"https://ddd.uab.cat/record/60929","source":{"id":"https://openalex.org/S4306400380","display_name":"Dip\u00f2sit Digital de Documents de la UAB (Universitat Aut\u00f2noma de Barcelona)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I123044942","host_organization_name":"Universitat Aut\u00f2noma de Barcelona","host_organization_lineage":["https://openalex.org/I123044942"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:dnet:uabarcelona_::9a38c6b9a2ebfa27688f51aef33a9a05","is_oa":true,"landing_page_url":"http://ddd.uab.cat/record/60929","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:recercat.cat:2072/64632","is_oa":true,"landing_page_url":"http://hdl.handle.net/2072/64632","pdf_url":null,"source":{"id":"https://openalex.org/S4306402147","display_name":"RECERCAT (Consorci de Serveis Universitaris de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210090028","host_organization_name":"Consorci de Serveis Universitaris de Catalunya","host_organization_lineage":["https://openalex.org/I4210090028"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/preprint"}],"best_oa_location":{"id":"pmh:oai:ddd.uab.cat:60929","is_oa":true,"landing_page_url":"https://ddd.uab.cat/record/60929","pdf_url":"https://ddd.uab.cat/record/60929","source":{"id":"https://openalex.org/S4306400380","display_name":"Dip\u00f2sit Digital de Documents de la UAB (Universitat Aut\u00f2noma de Barcelona)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I123044942","host_organization_name":"Universitat Aut\u00f2noma de Barcelona","host_organization_lineage":["https://openalex.org/I123044942"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2088372744.pdf"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W1188032535","https://openalex.org/W1490542677","https://openalex.org/W1600083631","https://openalex.org/W1607071030","https://openalex.org/W1977209536","https://openalex.org/W1979307234","https://openalex.org/W1981561582","https://openalex.org/W1987665529","https://openalex.org/W1991808464","https://openalex.org/W1995697751","https://openalex.org/W2001592109","https://openalex.org/W2002729176","https://openalex.org/W2009077137","https://openalex.org/W2010494355","https://openalex.org/W2017230954","https://openalex.org/W2018612477","https://openalex.org/W2024688047","https://openalex.org/W2032915912","https://openalex.org/W2035491582","https://openalex.org/W2050486951","https://openalex.org/W2054535407","https://openalex.org/W2057839950","https://openalex.org/W2062310403","https://openalex.org/W2065251807","https://openalex.org/W2078330456","https://openalex.org/W2081203142","https://openalex.org/W2087524818","https://openalex.org/W2096691966","https://openalex.org/W2115434847","https://openalex.org/W2115718968","https://openalex.org/W2118912685","https://openalex.org/W2134824850","https://openalex.org/W2137198182","https://openalex.org/W2137905518","https://openalex.org/W2141666973","https://openalex.org/W2155576729","https://openalex.org/W2301920453","https://openalex.org/W2327646824","https://openalex.org/W2327862128","https://openalex.org/W2330690206","https://openalex.org/W2335039135","https://openalex.org/W2564010961","https://openalex.org/W3150076954","https://openalex.org/W4206946871"],"related_works":["https://openalex.org/W2031561209","https://openalex.org/W2103176649","https://openalex.org/W2909522479","https://openalex.org/W2093875897","https://openalex.org/W2127197643","https://openalex.org/W2069478464","https://openalex.org/W1965128908","https://openalex.org/W2358959122","https://openalex.org/W4292026839","https://openalex.org/W2785906022"],"abstract_inverted_index":{"The":[0],"work":[1],"in":[2,89,96,124],"this":[3,116],"paper":[4],"concerns":[5],"the":[6,44,47,78,90,101,144],"study":[7],"of":[8,19,46,77],"conventional":[9],"and":[10,31,60,110],"refined":[11,102],"heat":[12],"balance":[13],"integral":[14,103,130],"methods":[15],"for":[16,134],"a":[17,71,84,113],"number":[18],"phase":[20,33],"change":[21],"problems.":[22],"These":[23],"include":[24],"standard":[25],"test":[26,43],"problems,":[27,136],"both":[28],"with":[29],"one":[30],"two":[32],"changes,":[34],"which":[35,118,129],"have":[36],"exact":[37],"solutions":[38],"that":[39,83,138],"enable":[40],"us":[41],"to":[42,63,69,121],"accuracy":[45],"approximate":[48],"solutions.":[49,65],"We":[50,127],"also":[51],"consider":[52],"situations":[53],"where":[54],"no":[55],"analytical":[56],"solution":[57],"is":[58,67,92,132,140],"available":[59],"compare":[61],"these":[62],"numerical":[64],"It":[66],"popular":[68],"use":[70],"quadratic":[72],"profile":[73],"as":[74],"an":[75],"approximation":[76],"temperature,":[79],"but":[80],"we":[81,111],"show":[82],"cubic":[85],"profile,":[86],"seldom":[87],"considered":[88],"literature,":[91],"far":[93],"more":[94],"accurate":[95],"most":[97],"circumstances.":[98],"In":[99],"addition,":[100],"method":[104,117,131],"can":[105],"give":[106],"greater":[107],"improvement":[108],"still,":[109],"develop":[112],"variation":[114],"on":[115,143],"turns":[119],"out":[120],"be":[122],"optimal":[123],"some":[125],"cases.":[126],"assess":[128],"better":[133],"various":[135],"showing":[137],"it":[139],"largely":[141],"dependent":[142],"specified":[145],"boundary":[146],"conditions.":[147]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":14},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":8}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}